Rearrangements and Majorization
Many inequalities are known that involve real vectors and vectors with the components rearranged. Such inequalities are discussed in Chapter X of Hardy, Littlewood, and Pólya (1934, 1952), but a number of new results have been obtained since that book was written. Particularly 4 noteworthy is the work of Lorentz (1953) and Day (1972).
KeywordsConvex Function Convex Cone Notational Convenience Permutation Matrice Permutation Invariance
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